131092538689225 has 27 divisors (see below), whose sum is σ = 163107834256647. Its totient is φ = 104518407462480.

The previous prime is 131092538689223. The next prime is 131092538689297. The reversal of 131092538689225 is 522986835290131.

The square root of 131092538689225 is 11449565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47193313928121 + 83899224761104 = 6869739^2 + 9159652^2 .

It is not a de Polignac number, because 131092538689225 - 2¹ = 131092538689223 is a prime.

It is a super-2 number, since 2×131092538689225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131092538689223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17575078546 + ... + 17575086004.

Almost surely, 2^{131092538689225} is an apocalyptic number.

131092538689225 is the 11449565-th square number.

131092538689225 is the 5724783-rd centered octagonal number.

It is an amenable number.

131092538689225 is a deficient number, since it is larger than the sum of its proper divisors (32015295567422).

131092538689225 is an frugal number, since it uses more digits than its factorization.

131092538689225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

The spelling of 131092538689225 in words is "one hundred thirty-one trillion, ninety-two billion, five hundred thirty-eight million, six hundred eighty-nine thousand, two hundred twenty-five".